36419328 has 144 divisors (see below), whose sum is σ = 117734400. Its totient is φ = 11013120.

The previous prime is 36419311. The next prime is 36419377. The reversal of 36419328 is 82391463.

36419328 is a `hidden beast` number, since 3 + 641 + 9 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36419292 and 36419301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75793 + ... + 76271.

It is an arithmetic number, because the mean of its divisors is an integer number (817600).

Almost surely, 2^36419328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

36419328 is an abundant number, since it is smaller than the sum of its proper divisors (81315072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36419328 is a wasteful number, since it uses less digits than its factorization.

36419328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 36419328 is about 6034.8428314249. The cubic root of 36419328 is about 331.4698074506.

The spelling of 36419328 in words is "thirty-six million, four hundred nineteen thousand, three hundred twenty-eight".